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422149728 = 2537111323191
BaseRepresentation
bin11001001010010…
…111111001100000
31002102100102120010
4121022113321200
51331032242403
6105520044520
713314133140
oct3112277140
91072312503
10422149728
111a7324380
12b9463740
13695c8350
14400cc920
15270db603
hex19297e60

422149728 has 384 divisors, whose sum is σ = 1560674304. Its totient is φ = 96307200.

The previous prime is 422149711. The next prime is 422149747. The reversal of 422149728 is 827941224.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2210113 + ... + 2210303.

It is an arithmetic number, because the mean of its divisors is an integer number (4064256).

Almost surely, 2422149728 is an apocalyptic number.

422149728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422149728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780337152).

422149728 is an abundant number, since it is smaller than the sum of its proper divisors (1138524576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

422149728 is a wasteful number, since it uses less digits than its factorization.

422149728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 250 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 422149728 is about 20546.2825834748. The cubic root of 422149728 is about 750.1627664513.

The spelling of 422149728 in words is "four hundred twenty-two million, one hundred forty-nine thousand, seven hundred twenty-eight".